Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Oliveira,José Francisco"'
We introduce a quadratic gradient type term for the Pucci extremal operators. Our analysis demonstrates that this proposed term extends the classical quadratic gradient term associated with the Laplace equation, and we investigate the impact of the K
Externí odkaz:
http://arxiv.org/abs/2411.01087
We are interested in finding prescribed $L^2$-norm solutions to inhomogeneous nonlinear Schr\"{o}dinger (INLS) equations. For $N\ge 3$ we treat the equation with combined Hardy-Sobolev power-type nonlinearities $$ -\Delta u+\lambda u=\mu|x|^{-b}|u|^{
Externí odkaz:
http://arxiv.org/abs/2407.09737
Our main goal is to investigate supercritical Hardy-Sobolev type inequalities with a logarithmic term and their corresponding variational problem. We prove the existence of extremal functions for the associated variational problem, despite the loss o
Externí odkaz:
http://arxiv.org/abs/2406.19128
Critical Sobolev-type inequality for a class of weighted Sobolev spaces on the entire space is established. We also investigate the existence of extremal function for the associated variational problem. As an application, we prove the existence of a
Externí odkaz:
http://arxiv.org/abs/2307.10483
We establish a supercritical Trudinger-Moser type inequality for the $k$-Hessian operator on the space of the $k$-admissible radially symmetric functions $\Phi^{k}_{0,\mathrm{rad}}(B)$, where $B$ is the unit ball in $\mathbb{R}^{N}$. We also prove th
Externí odkaz:
http://arxiv.org/abs/2306.05549
In this paper, we propose a gradient type term for the $k$-Hessian equation that extends for $k>1$ the classical quadratic gradient term associated with the Laplace equation. We prove that such as gradient term is invariant by the Kazdan-Kramer chang
Externí odkaz:
http://arxiv.org/abs/2301.07201
Publikováno v:
In Applied Mathematics Letters October 2024 156
Our main purpose in this paper is to establish the existence and nonexistence of extremal functions for sharp inequality of Adimurthi-Druet type for fractional dimensions on the entire space. Precisely, we extend the sharp Trudinger-Moser type inequa
Externí odkaz:
http://arxiv.org/abs/2203.14181
We establish critical and subcritical sharp Trudinger-Moser inequalities for fractional dimensions on the whole space. Moreover, we obtain asymptotic lower and upper bounds for the fractional subcritical Trudinger-Moser supremum from which we can pro
Externí odkaz:
http://arxiv.org/abs/2108.04977
Autor:
Rodriguez, Luis Damián, Confalone, Adriana Elisabet, Lazaro, Laura, Pimentel, Róberson Machado, Lyra, Gustavo Bastos, de Oliveira, José Francisco, Júnior, Singh, Sudhir Kumar, Pereira, Carlos Rodrigues
Publikováno v:
In Industrial Crops & Products May 2024 211